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Finding the Fourth Proportional to 9,550.69, 14,331.79 and 4,078.69

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Solution

The fourth proportional to 9,550.69, 14,331.79 and 4,078.69 is: 6,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.69 : 14,331.79 = 4,078.69 : x
  2. Step 2: Convert to fraction form
    9,550.69/14,331.79 = 4,078.69/x
  3. Step 3: Cross multiply
    9,550.69x = 14,331.79 × 4,078.69
  4. Step 4: Simplify right side
    9,550.69x = 58,454,897.82
  5. Step 5: Solve for x
    x = 58,454,897.82/9,550.69
  6. Step 6: Final answer
    x = 6,120.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.